1258328788032 has 112 divisors (see below), whose sum is σ = 3359150195072. Its totient is φ = 415698739200.

The previous prime is 1258328788021. The next prime is 1258328788033. The reversal of 1258328788032 is 2308878238521.

It is not an unprimeable number, because it can be changed into a prime (1258328788033) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12503418 + ... + 12603654.

It is an arithmetic number, because the mean of its divisors is an integer number (29992412456).

Almost surely, 2^{1258328788032} is an apocalyptic number.

1258328788032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1258328788032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1679575097536).

1258328788032 is an abundant number, since it is smaller than the sum of its proper divisors (2100821407040).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1258328788032 is a wasteful number, since it uses less digits than its factorization.

1258328788032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100836 (or 100826 counting only the distinct ones).

The product of its (nonzero) digits is 10321920, while the sum is 57.

The spelling of 1258328788032 in words is "one trillion, two hundred fifty-eight billion, three hundred twenty-eight million, seven hundred eighty-eight thousand, thirty-two".